82438131807 has 16 divisors (see below), whose sum is σ = 129314717280. Its totient is φ = 51725886336.

The previous prime is 82438131803. The next prime is 82438131857. The reversal of 82438131807 is 70813183428.

82438131807 is a `hidden beast` number, since 8 + 2 + 438 + 131 + 80 + 7 = 666.

It is not a de Polignac number, because 82438131807 - 2² = 82438131803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82438131803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89801428 + ... + 89802345.

It is an arithmetic number, because the mean of its divisors is an integer number (8082169830).

Almost surely, 2^82438131807 is an apocalyptic number.

82438131807 is a deficient number, since it is larger than the sum of its proper divisors (46876585473).

82438131807 is a wasteful number, since it uses less digits than its factorization.

82438131807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179603799 (or 179603793 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 82438131807 in words is "eighty-two billion, four hundred thirty-eight million, one hundred thirty-one thousand, eight hundred seven".